$\displaystyle
\dfrac{dx}{dt}=3xt^2\\
\dfrac{dx}{x}=3t^2 \, dt\\
\int \dfrac{dx}{x}=\int 3t^2 \, dt\\
\ln x=3\dfrac{t^3}{3}+C\\
\ln x=t^3+C\\
x=e^{t^3+C}\\
x=e^{t^3}\cdot e^C\\
\boxed{x=Ce^{t^3}}$

5 0

2 years ago

The newspapers cover page is 3/8 text and photographs filled the rest if 2/5 of the text is an article about endangered species,

Papessa [141]

The fraction of text -3/8 of the cover page
From this fraction of text only 2/5 of the text is about endangered species
We are asked to find out what the fraction of the cover page is that covers endangered species
In this 2/5 of 3/8 is about endangered species
Therefore to obtain the answer we need to multiply the two fractions
2/5 * 3/8
Fraction of the cover page about endangered species is therefore = 2/5 * 3/8
= 0.15

4 0

3 years ago

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